A new approach to solutions of the Einstein field equation is based on the concept of smooth transition between domains. A transition metric between Minkowski and Shwarzschild spacetimes is shown as an example of a successful implementation of the method. The transition between a Schwarzschild singularity and the Lemaitre–Robertson–Walker metric represents a more difficult problem, but the existence of a transition metric of C^2 continuity class, fulfilling the weak energy condition is demonstrated. Considerations upon the applicability to teh issue of motion in general relativity and the two-body problem are outlined.

Transition metrics: method and applications

FERRARIS, Marco;FRANCAVIGLIA, Mauro;
1996-01-01

Abstract

A new approach to solutions of the Einstein field equation is based on the concept of smooth transition between domains. A transition metric between Minkowski and Shwarzschild spacetimes is shown as an example of a successful implementation of the method. The transition between a Schwarzschild singularity and the Lemaitre–Robertson–Walker metric represents a more difficult problem, but the existence of a transition metric of C^2 continuity class, fulfilling the weak energy condition is demonstrated. Considerations upon the applicability to teh issue of motion in general relativity and the two-body problem are outlined.
1996
11th Italian Conference on General Relativity and Gravitational Physics
SISSA, Trieste, Italy
September 26-30, 1994
General Relativity and Gravitational Physics
World Scientific Publishing Co.
349
358
9789810228286
M. FERRARIS; M. FRANCAVIGLIA; A. SPALLICCI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/18251
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